The Slope of a Line The Slope of a Line The Slope of a Line The - - PowerPoint PPT Presentation

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The Slope of a Line The Slope of a Line The Slope of a Line The - - PowerPoint PPT Presentation

Jan 03, 2023 310 likes •704 views

The Slope of a Line The Slope of a Line The Slope of a Line The Slope of a Line The Slope of a Line The Slope of a Line The Slope of a Line The Slope of a Line The Slope of a Line m = y x The Slope of a Line m = y x x =

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The Slope of a Line

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The Slope of a Line

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SLIDE 4

The Slope of a Line

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The Slope of a Line

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The Slope of a Line

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The Slope of a Line

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The Slope of a Line

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The Slope of a Line

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The Slope of a Line

m = ∆y ∆x

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The Slope of a Line

m = ∆y ∆x ∆x = b − a

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The Slope of a Line

m = ∆y ∆x ∆x = b − a ∆y = f (b) − f (a)

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The Slope of a Line

m = f (b) − f (a) b − a

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The Slope of a Line

m = f (b) − f (a) b − a

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The Slope of a Curve

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The Slope of a Curve

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The Slope of a Curve

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The Slope of a Curve

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The Slope of a Curve

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The Slope of a Curve

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The Slope of a Curve

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The Slope of a Curve

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The Slope of a Curve

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The Slope of a Curve

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The Slope of a Curve

∆y ∆x =

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The Slope of a Curve

∆y ∆x = f (x0 + ∆x) − f (x0) ∆x

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Taking the Limit

Now, we are going to take the limit as ∆x → 0:

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Taking the Limit

Now, we are going to take the limit as ∆x → 0:

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Taking the Limit

Now, we are going to take the limit as ∆x → 0:

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Taking the Limit

Now, we are going to take the limit as ∆x → 0:

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SLIDE 31

Taking the Limit

Now, we are going to take the limit as ∆x → 0:

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SLIDE 32

Taking the Limit

Now, we are going to take the limit as ∆x → 0:

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Taking the Limit

Now, we are going to take the limit as ∆x → 0: And we define:

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Taking the Limit

Now, we are going to take the limit as ∆x → 0: And we define: f ′(x0) =

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Taking the Limit

Now, we are going to take the limit as ∆x → 0: And we define: f ′(x0) = lim

∆x→0

f (x0 + ∆x) − f (x0) ∆x

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Taking the Limit

Now, we are going to take the limit as ∆x → 0: And we define: f ′(x0) = lim

∆x→0

f (x0 + ∆x) − f (x0) ∆x

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